Getting at lease a C grade is so crucial to your future, we've taken the structure of the excellent Pearson 'Booster C' books and created a section dedicated to helping you master those key skills to get the C grade. You can access the Booster C homepage here.

Edexcel Modular Past Papers

(Only available to EPCHS pupils for copyright reasons. You will need to log into the VLE for these links to work.)
Maths Revision Page of VLE (Please let us know if you have a problem accessing these papers)

Some ideas for teachers: revision lesson outlines and strategies.

Suggested revision sites:

mymaths - if you have a school login, please open in another tab and sign in to follow the links below
kahn academy - this is free to register - use a facebook or googlemail account to log on
BBC bitesize maths revision - a long-time favorite of many learners
the student room GCSE revision wiki - some good bits, but be aware it's a wiki and quite an open one at that so there may be errors
revision world
mathanswers has some nice, high quality powerpoints on a limited range of topics for OCR GCSE, but there's good overlap with Edexcel
suffolkmaths GCSE revision pages

Revision books and resources to buy

There's a lot of free stuff above, but if you really want to spend some money on revision guides and resources you might consider these books whcih can be ordered through the school. Please use an order form/letter. Links are provided here so you can see what you're buying. Prices below were prices that we expect to be able to honour as of 1 Oct 2011. Prices are subject to change and the rate charged will be that which appears on the order form at the time of purchase.

foundation tier	higher tier
CGP Edexcel foundation modular revision guide (£2.95 from school)	CGP Edexcel higher modular revision guide (£2.95 from school)
CGP Edexcel foundation modular work book (£2.75 from school) You'd be foolish to buy this and not buy the answers to the foundation workbook for an extra £1	CGP Edexcel higher modular work book (£2.75 from school) And the answers to the highr tier workbook are available too (£1.00)
There's nothing better than exam practice with good feedback to sharpen your skills, so you might consider the CGP foundation practice paper pack (£2.75)	Exam practice is also available for higher tier (£2.75)

Edexcel GCSE Unit 1 revision list

Important: start revising a couple of levels below your target and master all the easy marks first.

Unit 1 Grade G skills are:

Rounding to the nearest whole number
Rounding to the nearest 10,100, 1000
Identifying fractions from a shaded diagram
Identifying percentages from a shaded diagram
Calculating simple fractions of quantities (numerator of 1)
Ordering decimals
Ordering, reading and writing whole numbers
Converting simple fractions to a ratio, e.g. 1/3 of a whole is 1:2
Reading and interpreting bills and timetables
Using co-ordinates like ( 2 , 3 ) where the co-ordinates are both positive numbers
Reading from simple real-life graphs
Measuring and drawing lines
Completing accurate drawings of given shapes
Finding median and mode using single digits
Drawing and interpreting line graphs, bar charts and pictograms
Making tables, lists and tally charts from discrete data
Being able to choose the ‘most likely’ outcome from given information

Unit 1 Grade F skills are:

Carrying out long multiplication and division: 3-digit by 2-digit
Calculating simple percentages of quantities
Calculating simple fractions of quantities
Understanding the order of operations BODMAS or BIDMAS or 'My Dear Aunt Sally'
Rounding to various decimal places
Adding and subtracting decimals
Understanding place value
Finding factors of numbers
Converting between fractions, decimals and percentages
Using negative numbers in context
Using co-ordinates in four quadrants
Simple rules of algebra - collecting like terms such as a + a + a = 3a
Using simple formulae
Deriving simple expressions
Estimating lengths
Using simple scale drawings
Naming, measuring and drawing angles
Naming polygons
Using the angle sum on a straight line = 180º
Stating simple probability
Listing all outcomes for a single event
Estimating probability from diagrams, pie charts and tables
Finding range, and using to compare two distributions
Finding mean and mode
Interpreting pie charts
Using bar charts to compare two sets of data

Unit 1 Grade E skills are

Simplifying ratios
Using a calculator, to calculate, for example 1∙5³ and ‘square root of 23∙78’
Rounding to 1 significant figure
Equivalent fractions
Calculating with fractions in simple cases
Long multiplication and division, including decimals
Finding percentages by mental methods
Ordering fractions, decimals and percentages
Adding, subtracting, multiplying and dividing with negative numbers
Calculating VAT and other percentage changes using the 10%, 5%, 2.5% additive method
Constructing simple linear graphs from tables
Using conversion graphs
Understanding angles in triangles and quadrilaterals and the properties of triangles and quadrilaterals
Converting between common metric and Imperial units using facts that have been memorised
Constructing accurate drawings and angles
Interpreting a stem and leaf diagram to find the median
Interpreting a time series graph
Using data collection sheets
Finding probabilities from a 2-way table
Using the fact that the sum of probabilities is 1
Using ‘fx’ in a frequency table
Constructing a pie chart

Unit 1 Grade D skills are:

Estimation by rounding to 1 significant figure and showing just enough working
- [mymaths: estimating 1, mymaths: estimating 2 and mymaths: mental methods revision 2]
Calculating profit and loss
Solving problems involving proportion in simple cases
Calculating an increase or decrease by a percentage
Calculating with fractions in simple cases, especially a fraction of an amount
Calculating with ratios in recipes
Linear graphs by completing tables of values and plotting points
Finding midpoint of a line given the end co-ordinates
Solving simple angle problems involving polygons
Solving angle problems involving parallel lines
Knowing triangle proofs (exterior angle & angle-sum)
Constructing a stem and leaf diagram
Understanding and using relative frequency
Finding missing probability from a list or table of results
Constructing and interpreting scatter graphs including describing correlation
Drawing and using lines of best fit on scatter graphs
Finding the modal class from grouped frequencies
Finding the mean from a discrete frequency distribution
Criticise a questionnaire question or improve it and discuss sampling techniques

Unit 1 Grade C skills are

Estimation and division by a number less than 1
Calculating compound interest (by repeatedly adding a percentage change)
Using a calculator in complex situations
Multiplication and division by a number between 0 and 1
Add, subtract, multiply and divide with fractions in simpler cases
Calculating with ratios
Calculating percentage decrease and increase
Multiplication and division by powers of 10 and decimals
Graphing quadratic functions in simple cases
Interpreting real-life graphs, e.g. travel graphs
Substitution into complicated formulae
Solving problems involving polygons: find interior angles
Drawing box plots to show quartiles from listed data or given quartiles
Calculating moving averages
Finding mean and median from grouped data
Designing questionnaires
Explaining the use of different averages

Unit 1 Grade B skills are:

Calculating compound interest (by using and interpretting the formula V = P((100 + R)/100)n )
Calculating reverse percentage problems to find the original amount before a percentage change
Add, subtract, multiply and divide with fractions and mixed numbers
Using y = mx + c to find the gradient and equation of a line without drawing
Solving cubic equations graphically (when the graph is given)
Solving quadratic equations graphically
Recognising graphs of quadratic, cubic and reciprocal functions
Finding interior and exterior angles of polygons
Using tree diagrams to work out probability
Deciding if an outcome is biased by comparing theoretical probablility with experimental outcomes
Finding median, quartiles and inter-quartile range from cumulative frequency table or graph
Using median and quartiles to draw a box plots from data in a table or graph

Unit 1 Grade A skills are

Appreciate that premature rounding has a influence on the accuracy of calculations (consider bounds)
Solving equations by plotting graphs and finding intersections
Calculating equation of line through a point and perpendicular to a given line
Calculating the distance between points using 3D co-ordinates (in simple cases where this does not require Pythagoras)
Constructing and interpreting histograms
Understand stratified sampling
Find probability for combined events using multiplication and addition

Unit 1 Grade A* skills are:

Knowing proofs of angle theorems
Knowing proofs of constructions and conguence

!!!!!!!! Warning: This page is being edited, so the information below is not yet accurate !!!!!!!!!

Below is a list of all the key skills needed for GCSE, sorted by level. At the moment, all I've had time to do is copy it three times and put the correct titles on it. Within each section I need to go back and delete the skills that aren't needed on that particular unit. If you learn all these skills, that should cover the grade, but you'd be learning a lot of extra material that won't be tested until the next unit. Call back in 48 hours to hopefully see this completed.
(18:00 BST, 03 Oct 2011)

Edexcel GCSE Unit 2 revision list

Sorted by level, contains topics on all three units.
Important: start revising a couple of levels below your target and master all the easy marks first.

Unit 2 Grade G skills are:

Rounding to the nearest whole number
Rounding to the nearest 10,100, 1000
Identifying fractions from a shaded diagram
Identifying percentages from a shaded diagram
Calculating simple fractions of quantities (numerator of 1)
Ordering decimals
Ordering, reading and writing whole numbers
Converting simple fractions to a ratio, e.g. 1/3 of a whole is 1:2
Reading and interpreting bills and timetables
Using co-ordinates like ( 2 , 3 ) where the co-ordinates are both positive numbers
Reading from simple real-life graphs
Finding the next term in a simple linear sequence
Finding areas, perimeters and volumes by counting
Drawing 2D shapes
Measuring and drawing lines
Drawing circles
Naming shapes
Drawing lines of symmetry on a diagram
Using a given line of reflection
Completing accurate drawings of given shapes
Finding median and mode using single digits
Drawing and interpreting line graphs, bar charts and pictograms
Making tables, lists and tally charts from discrete data
Being able to choose the ‘most likely’ outcome from given information

Unit 2 Grade F skills are:

Carrying out long multiplication and division: 3-digit by 2-digit
Calculating simple percentages of quantities
Calculating simple fractions of quantities
Understanding the order of operations BODMAS or BIDMAS or 'My Dear Aunt Sally'
Rounding to various decimal places
Adding and subtracting decimals
Understanding place value
Finding simple squares, cubes and roots
Finding factors of numbers
Converting between fractions, decimals and percentages
Using negative numbers in context
Finding terms in a linear sequence
Recognising non-linear number sequences
Using co-ordinates in four quadrants
Simple rules of algebra - collecting like terms such as a + a + a = 3a
Using simple formulae
Solving simple one-step linear equations, such as: 5x = 25 and x - 2 = 6
Deriving simple expressions
Estimating lengths
Using simple scale drawings
Naming, measuring and drawing angles
Naming polygons
Identifying lines of symmetry
Identifying rotational symmetry
Using the angle sum on a straight line = 180º
Identifying faces, edges and vertices
Stating simple probability
Listing all outcomes for a single event
Estimating probability from diagrams, pie charts and tables
Finding range, and using to compare two distributions
Finding mean and mode
Interpreting pie charts
Using bar charts to compare two sets of data

Unit 2 Grade E skills are

Simplifying ratios
Using a calculator, to calculate, for example 1∙5³ and ‘square root of 23∙78’
Rounding to 1 significant figure
Equivalent fractions
Calculating with fractions in simple cases
Long multiplication and division, including decimals
Finding percentages by mental methods
Ordering fractions, decimals and percentages
Calculating indices and roots, e.g. ‘4³’, ‘2³ × 3²’, ‘the cube of 4’
Adding, subtracting, multiplying and dividing with negative numbers
Calculating VAT and other percentage changes using the 10%, 5%, 2.5% additive method
Constructing simple linear graphs from tables
Simplifying simple algebra - collecting like terms such as 2x + 3y - x + 4y = x + 7y and 3x × 4y = 12xy
Using a formula 'back to front' such as: find x given that y = 3 and y = 2x - 1
Using conversion graphs
Recognising and continuing or completing missing values from number patterns, including simple non-linear patterns
Solving simple linear equations, e.g. 3x+ 2 = 8
Understanding angles in triangles and quadrilaterals and the properties of triangles and quadrilaterals
Measuring simple bearings
Transformations: enlargements by positive whole number scale factor, without a centre of enlargement
Converting between common metric and Imperial units using facts that have been memorised
Calculating volumes in cubes and cuboids
Completing tessellations
Finding area and perimeter of rectangles, squares and parallelograms.
Identifying planes of symmetry
Working with nets of shapes
Constructing accurate drawings and angles
Carrying out simple transformations
Interpreting a stem and leaf diagram to find the median
Interpreting a time series graph
Using data collection sheets
Finding probabilities from a 2-way table
Using the fact that the sum of probabilities is 1
Using ‘fx’ in a frequency table
Constructing a pie chart

Unit 2 Grade D skills are:

Estimation by rounding to 1 significant figure and showing just enough working
Calculating profit and loss
Solving problems involving proportion in simple cases
Calculating an increase or decrease by a percentage
Calculating with fractions in simple cases, especially a fraction of an amount
Calculating with ratios in recipes
Expanding brackets such as x(x+ 4)
Factorising, e.g. x² - 5x = x(x - 5) and 12x – 8 = 4(3x- 2)
Linear graphs by completing tables of values and plotting points
Deriving and solving simple equations from diagrams
Substituting negative numbers into algebra, especially with linear and quadratic terms
Expanding and simplifying brackets and expressions in easy cases
Solving linear equations equations, including unknowns on both sides, but mostly with nice whole numbers
Converting between units of area, e.g. m² to cm²
Calculating area or circumference of a circle given radius
Finding area of triangle, regular polygons, compound shapes, trapezium
Drawing and measuring bearings
Finding midpoint of a line given the end co-ordinates
Carrying out simple transformations
Solving simple angle problems involving polygons
Solving problems involving similar triangles (+ve scale factor)
Constructing and interpreting plans and elevations
Solving problems involving parallel lines
Knowing triangle proofs (exterior angle & angle-sum)
Constructing a stem and leaf diagram
Understanding and using relative frequency
Finding missing probability from a list or table of results
Constructing and interpreting scatter graphs including describing correlation
Drawing and using lines of best fit on scatter graphs
Finding the modal class from grouped frequencies
Finding the mean from a discrete frequency distribution
Criticise a questionnaire question or improve it and discuss sampling techniques

Unit 2 Grade C skills are

Estimation and division by a number less than 1
Calculating compound interest (by repeatedly adding a percentage change)
Using a calculator in complex situations
Multiplication and division by a number between 0 and 1
Add, subtract, multiply and divide with fractions in simpler cases
Calculating with ratios
Calculating percentage decrease and increase
Multiplication and division by powers of 10 and decimals
Finding the prime factorisationof a number
Using the rules of indiceswith numbers
Solving cubic equations by trial and improvement
Rearranging simple formulae
Solving linear equations
Solving simple linear inequalities
Expanding a single bracket or simple pairs of brackets and simplifying the result
Graphing quadratic functions in simple cases
Interpreting real-life graphs, e.g. travel graphs
Finding the nth term for a linear sequence
Using Pythagoras' theorem to find the length of a line given 2 points
Substitution into complicated formulae
Constructing the perpendicular bisector of a given line or bisector of an angle
Constructing loci
Finding volumes of 3D shapes including prisms
Calculating area or circumference of a circle from diameter
Transformations: rotation by multiples of 90º given a centre of rotation
Transformations: reflections in a line given by its equation: x = a or y = b or y = x or y = -x
Transformations: enlargement by a positive, whole number scale factor given a centre of enlargement
Transformations: translation given a vector either in vector notation or in words
Use of Pythagoras’ Theorem and trigonometry
Carrying out constructions, especially of triangles given sufficient information about side lengths or angles
Solving problems involving polygons: find interior angles
Understanding, using and solving problems with bearings
Drawing box plots to show quartiles from listed data or given quartiles
Calculating moving averages
Finding mean and median from grouped data
Designing questionnaires
Explaining the use of different averages

Unit 2 Grade B skills are:

Calculating compound interest (by using and interpretting the formula V = P((100 + R)/100)n )
Calculating reverse percentage problems to find the original amount before a percentage change
Add, subtract, multiply and divide with fractions and mixed numbers
Calculating in problems involving numbers in standard form
Understanding and using negative indices
Recognising and using the difference of two squares (x + a)(x - a) = x² - a²
Solving inequalities using algebra and/or graphs
Solving simultaneous equations using algebra or graphs
Solving simple quadratics by factorising
Solving linear equations involving fractions
Expanding single brackets; expanding pairs of brackets; factorising quadratics
Using y = mx + c to find the gradient and equation of a line without drawing
Solving cubic equations graphically (when the graph is given)
Solving quadratic equations graphically
Recognising graphs of quadratic, cubic and reciprocal functions
Simplifying fractions where the denominator is a simple bit of algebra
Factorising expressions for example 6(a - b)² - 3(a - b)
Using the eight circle theorems
Calculating lengths in similar shapes
Solving multi-step trig. problems using sin, cos and tan
Fully describing transformations (reflections, rotations, translations and enlargements)
Finding interior and exterior angles of polygons
Using 'dimensions' of a formulae to decide if an expression gives a length, area or volume
Using tree diagrams to work out probability
Deciding if an outcome is biased by comparing theoretical probablility with experimental outcomes
Finding median, quartiles and inter-quartile range from cumulative frequency table or graph
Using median and quartiles to draw a box plots from data in a table or graph

Unit 2 Grade A skills are

Rationlising the denominator of simple surds
Calculating upper and lower bounds
Manipulating fractional indices
Rearranging formulae where the variable occurs twice
Manipulating simple algebraic fractions, e.g. addition and subtraction of fractions with (ax ± b) in the denominator
Solving algebraic problems, e.g. explain why (n + 1)(n + 20) is an even number
Solving quadratics by factorising, formula or completing the square
Solving equations by plotting graphs and finding intersections
Recognising and using the difference of two squares in harder contexts (px + qy)(px - qy) = p²x² - q²y²
Simplifying algebra involving powers
Calculating equation of line through a point and perpendicular to a given line
Finding trigonometrical solutions, e.g. cos x = 0∙5
Recognising graphs of trigonometrical functions
Using the sine and cosine rule in simple cases
Calculating surface area or volume of various solids
Solving problems involving arcs, sectors and segments
Using Pythagoras’ Theorem in 3D situations
Using similarity in length, area and volume
Calculating the distance between points using 3D co-ordinates
Proving that triangles are congruent
Using circle theorems
Carrying out an enlargement with a negative fractional scale factor
Using the fact that the area of triangle = ½ab sin C
Constructing and interpreting histograms
Understand stratified sampling
Find probability for combined events using multiplication and addition

Unit 2 Grade A* skills are:

Calculating bounds in area and volume questions
Manipulating harder indices especially those using negative and fractional indices
Simplifying harder surds including using the difference of two squares to rationalise denominator of surds
Solving simultaneous equations - one linear and one quadratic
Using equation of a circle and finding points of intersection with a line graphically and by simultaneous equations
Transforming graphs of trig. functions y = sin x, y = cos x and y = tan x
Knowing graphs of exponential and more complex functions
Manipulating algebraic fractions
Rearranging complex equations
Transforming graphs of functions, e.g. y = f(x + a) and y = f(ax)
Solving 3D trigonometry problems
Using the sine and cosine rule
Harder area of 2D shapes - multi-step problems
Harder surface area and volume in 3D solids - rearranging and equating formulae
Knowing proofs of circle theorems
Knowing proofs of construction theorems

Edexcel GCSE Unit 3 revision list

Sorted by level, contains topics on all three units.
Important: start revising a couple of levels below your target and master all the easy marks first.

Unit 3 Grade G skills are:

Rounding to the nearest whole number
Rounding to the nearest 10,100, 1000
Identifying fractions from a shaded diagram
Identifying percentages from a shaded diagram
Calculating simple fractions of quantities (numerator of 1)
Ordering decimals
Ordering, reading and writing whole numbers
Converting simple fractions to a ratio, e.g. 1/3 of a whole is 1:2
Reading and interpreting bills and timetables
Using co-ordinates like ( 2 , 3 ) where the co-ordinates are both positive numbers
Reading from simple real-life graphs
Finding the next term in a simple linear sequence
Finding areas, perimeters and volumes by counting
Drawing 2D shapes
Measuring and drawing lines
Drawing circles
Naming shapes
Drawing lines of symmetry on a diagram
Using a given line of reflection
Completing accurate drawings of given shapes
Finding median and mode using single digits
Drawing and interpreting line graphs, bar charts and pictograms
Making tables, lists and tally charts from discrete data
Being able to choose the ‘most likely’ outcome from given information

Unit 3 Grade F skills are:

Carrying out long multiplication and division: 3-digit by 2-digit
Calculating simple percentages of quantities
Calculating simple fractions of quantities
Understanding the order of operations BODMAS or BIDMAS or 'My Dear Aunt Sally'
Rounding to various decimal places
Adding and subtracting decimals
Understanding place value
Finding simple squares, cubes and roots
Finding factors of numbers
Converting between fractions, decimals and percentages
Using negative numbers in context
Finding terms in a linear sequence
Recognising non-linear number sequences
Using co-ordinates in four quadrants
Simple rules of algebra - collecting like terms such as a + a + a = 3a
Using simple formulae
Solving simple one-step linear equations, such as: 5x = 25 and x - 2 = 6
Deriving simple expressions
Estimating lengths
Using simple scale drawings
Naming, measuring and drawing angles
Naming polygons
Identifying lines of symmetry
Identifying rotational symmetry
Using the angle sum on a straight line = 180º
Identifying faces, edges and vertices
Stating simple probability
Listing all outcomes for a single event
Estimating probability from diagrams, pie charts and tables
Finding range, and using to compare two distributions
Finding mean and mode
Interpreting pie charts
Using bar charts to compare two sets of data

Unit 3 Grade E skills are

Simplifying ratios
Using a calculator, to calculate, for example 1∙5³ and ‘square root of 23∙78’
Rounding to 1 significant figure
Equivalent fractions
Calculating with fractions in simple cases
Long multiplication and division, including decimals
Finding percentages by mental methods
Ordering fractions, decimals and percentages
Calculating indices and roots, e.g. ‘4³’, ‘2³ × 3²’, ‘the cube of 4’
Adding, subtracting, multiplying and dividing with negative numbers
Calculating VAT and other percentage changes using the 10%, 5%, 2.5% additive method
Constructing simple linear graphs from tables
Simplifying simple algebra - collecting like terms such as 2x + 3y - x + 4y = x + 7y and 3x × 4y = 12xy
Using a formula 'back to front' such as: find x given that y = 3 and y = 2x - 1
Using conversion graphs
Recognising and continuing or completing missing values from number patterns, including simple non-linear patterns
Solving simple linear equations, e.g. 3x+ 2 = 8
Understanding angles in triangles and quadrilaterals and the properties of triangles and quadrilaterals
Measuring simple bearings
Transformations: enlargements by positive whole number scale factor, without a centre of enlargement
Converting between common metric and Imperial units using facts that have been memorised
Calculating volumes in cubes and cuboids
Completing tessellations
Finding area and perimeter of rectangles, squares and parallelograms.
Identifying planes of symmetry
Working with nets of shapes
Constructing accurate drawings and angles
Carrying out simple transformations
Interpreting a stem and leaf diagram to find the median
Interpreting a time series graph
Using data collection sheets
Finding probabilities from a 2-way table
Using the fact that the sum of probabilities is 1
Using ‘fx’ in a frequency table
Constructing a pie chart

Unit 3 Grade D skills are:

Estimation by rounding to 1 significant figure and showing just enough working
Calculating profit and loss
Solving problems involving proportion in simple cases
Calculating an increase or decrease by a percentage
Calculating with fractions in simple cases, especially a fraction of an amount
Calculating with ratios in recipes
Expanding brackets such as x(x+ 4)
Factorising, e.g. x² - 5x = x(x - 5) and 12x – 8 = 4(3x- 2)
Linear graphs by completing tables of values and plotting points
Deriving and solving simple equations from diagrams
Substituting negative numbers into algebra, especially with linear and quadratic terms
Expanding and simplifying brackets and expressions in easy cases
Solving linear equations equations, including unknowns on both sides, but mostly with nice whole numbers
Converting between units of area, e.g. m² to cm²
Calculating area or circumference of a circle given radius
Finding area of triangle, regular polygons, compound shapes, trapezium
Drawing and measuring bearings
Finding midpoint of a line given the end co-ordinates
Carrying out simple transformations
Solving simple angle problems involving polygons
Solving problems involving similar triangles (+ve scale factor)
Constructing and interpreting plans and elevations
Solving problems involving parallel lines
Knowing triangle proofs (exterior angle & angle-sum)
Constructing a stem and leaf diagram
Understanding and using relative frequency
Finding missing probability from a list or table of results
Constructing and interpreting scatter graphs including describing correlation
Drawing and using lines of best fit on scatter graphs
Finding the modal class from grouped frequencies
Finding the mean from a discrete frequency distribution
Criticise a questionnaire question or improve it and discuss sampling techniques

Unit 3 Grade C skills are

Estimation and division by a number less than 1
Calculating compound interest (by repeatedly adding a percentage change)
Using a calculator in complex situations
Multiplication and division by a number between 0 and 1
Add, subtract, multiply and divide with fractions in simpler cases
Calculating with ratios
Calculating percentage decrease and increase
Multiplication and division by powers of 10 and decimals
Finding the prime factorisationof a number
Using the rules of indiceswith numbers
Solving cubic equations by trial and improvement
Rearranging simple formulae
Solving linear equations
Solving simple linear inequalities
Expanding a single bracket or simple pairs of brackets and simplifying the result
Graphing quadratic functions in simple cases
Interpreting real-life graphs, e.g. travel graphs
Finding the nth term for a linear sequence
Using Pythagoras' theorem to find the length of a line given 2 points
Substitution into complicated formulae
Constructing the perpendicular bisector of a given line or bisector of an angle
Constructing loci
Finding volumes of 3D shapes including prisms
Calculating area or circumference of a circle from diameter
Transformations: rotation by multiples of 90º given a centre of rotation
Transformations: reflections in a line given by its equation: x = a or y = b or y = x or y = -x
Transformations: enlargement by a positive, whole number scale factor given a centre of enlargement
Transformations: translation given a vector either in vector notation or in words
Use of Pythagoras’ Theorem and trigonometry
Carrying out constructions, especially of triangles given sufficient information about side lengths or angles
Solving problems involving polygons: find interior angles
Understanding, using and solving problems with bearings
Drawing box plots to show quartiles from listed data or given quartiles
Calculating moving averages
Finding mean and median from grouped data
Designing questionnaires
Explaining the use of different averages

Unit 3 Grade B skills are:

Calculating compound interest (by using and interpretting the formula V = P((100 + R)/100)n )
Calculating reverse percentage problems to find the original amount before a percentage change
Add, subtract, multiply and divide with fractions and mixed numbers
Calculating in problems involving numbers in standard form
Understanding and using negative indices
Recognising and using the difference of two squares (x + a)(x - a) = x² - a²
Solving inequalities using algebra and/or graphs
Solving simultaneous equations using algebra or graphs
Solving simple quadratics by factorising
Solving linear equations involving fractions
Expanding single brackets; expanding pairs of brackets; factorising quadratics
Using y = mx + c to find the gradient and equation of a line without drawing
Solving cubic equations graphically (when the graph is given)
Solving quadratic equations graphically
Recognising graphs of quadratic, cubic and reciprocal functions
Simplifying fractions where the denominator is a simple bit of algebra
Factorising expressions for example 6(a - b)² - 3(a - b)
Using the eight circle theorems
Calculating lengths in similar shapes
Solving multi-step trig. problems using sin, cos and tan
Fully describing transformations (reflections, rotations, translations and enlargements)
Finding interior and exterior angles of polygons
Using 'dimensions' of a formulae to decide if an expression gives a length, area or volume
Using tree diagrams to work out probability
Deciding if an outcome is biased by comparing theoretical probablility with experimental outcomes
Finding median, quartiles and inter-quartile range from cumulative frequency table or graph
Using median and quartiles to draw a box plots from data in a table or graph

Unit 3 Grade A skills are

Rationlising the denominator of simple surds
Calculating upper and lower bounds
Manipulating fractional indices
Rearranging formulae where the variable occurs twice
Manipulating simple algebraic fractions, e.g. addition and subtraction of fractions with (ax ± b) in the denominator
Solving algebraic problems, e.g. explain why (n + 1)(n + 20) is an even number
Solving quadratics by factorising, formula or completing the square
Solving equations by plotting graphs and finding intersections
Recognising and using the difference of two squares in harder contexts (px + qy)(px - qy) = p²x² - q²y²
Simplifying algebra involving powers
Calculating equation of line through a point and perpendicular to a given line
Finding trigonometrical solutions, e.g. cos x = 0∙5
Recognising graphs of trigonometrical functions
Using the sine and cosine rule in simple cases
Calculating surface area or volume of various solids
Solving problems involving arcs, sectors and segments
Using Pythagoras’ Theorem in 3D situations
Using similarity in length, area and volume
Calculating the distance between points using 3D co-ordinates
Proving that triangles are congruent
Using circle theorems
Carrying out an enlargement with a negative fractional scale factor
Using the fact that the area of triangle = ½ab sin C
Constructing and interpreting histograms
Understand stratified sampling
Find probability for combined events using multiplication and addition

Unit 3 Grade A* skills are:

Calculating bounds in area and volume questions
Manipulating harder indices especially those using negative and fractional indices
Simplifying harder surds including using the difference of two squares to rationalise denominator of surds
Solving simultaneous equations - one linear and one quadratic
Using equation of a circle and finding points of intersection with a line graphically and by simultaneous equations
Transforming graphs of trig. functions y = sin x, y = cos x and y = tan x
Knowing graphs of exponential and more complex functions
Manipulating algebraic fractions
Rearranging complex equations
Transforming graphs of functions, e.g. y = f(x + a) and y = f(ax)
Solving 3D trigonometry problems
Using the sine and cosine rule
Harder area of 2D shapes - multi-step problems
Harder surface area and volume in 3D solids - rearranging and equating formulae
Knowing proofs of circle theorems
Knowing proofs of construction theorems

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